Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 2.5x + 3 - (x - 4)
<em>open parentheis</em>
3x - 5 = 2.5x + 3 - x + 4
3x - 5 = 1.5x + 7
<em>subtract 1.5x from both sides of the equation</em>
3x - 1.5x - 5 = 7
1.5x - 5 = 7
<em>add 5 to both sides of the equation</em>
1.5x = 7 + 5
1.5x = 12
<em>divide both sides of the equation by 1.5</em>
1.5x/1.5 = 12/1.5
x = 12/1.5
x = 8
Answer:
A) 
B) 
Step-by-step explanation:
A survey of 46 college athletes found that
- 24 played volleyball,
- 22 played basketball.
A) If we pick one athlete survey participant at random, the probability they play basketball is
B) If we pick 2 athletes at random (without replacement),
- the probability we get one volleyball player is
- the probability we get another basketball player is
(only 45 athletes left).
Thus, the probability we get one volleyball player and one basketball player is
This is if you need it written out, but the answer would be the last one 3m+2=-10 doesn’t have the same solution as the rest
